Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 37, Problem 31P
To determine
The expression for energy of photon required for transition from the
( l − 1 ) th
level to the
l th
level in a molecule with rotational inertia
I
.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A hypothetical NH molecule makes a rotational-level transition from l = 3 to l= 1 and gives off a photon of wavelength 1.780 nm in doing so. What is the separation between the two atoms in this molecule if we model them as point masses? (The mass of hydrogen is 1.67 * 10-27 kg, and the mass of nitrogen is 2.33 * 10-26 kg).
For a certain diatomic molecule, the lowest-energy photon in the vibrational spectrum is 0.17 eV.What is the energy of a photon emitted in a transition from the 5th exited vibrational energy level to the 2nd exited vibrational energy level, assuming no change in the rotational energy?
A hypothetical NH molecule makes a rotational-level transition from l=3 to l=1 and gives off a photon of wavelength 1.800 nm in doing so.
What is the seperation between the two atoms in this molecule if we model them as point masses? The mass of hydrogen 1.67 * 10^-27 kg, and the mass of nitrogen is 2.33 * 10^-26 kg.
Chapter 37 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - The critical field in a niobium-titanium...Ch. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - (a) Count the number of electron states N(E) with...Ch. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
Knowledge Booster
Similar questions
- In a vibrational-rotational spectroscopy the total energy is the sum of the energies coming from the vibration and rotation (E = E + E₁). Selection rule suggests that for transition to occur Av = ±1 and Al = ±1. At room temperature, it is assumed that the lowest vibrational state is populated and the energy can only travel upwards due to lack of population of upper vibrational states thus Av = +1. What would be the energy of a line for R, P and Q-branch if a.) Al = +1, b.) Al = -1 and c.) Al = 0 respectively.arrow_forwardThe CO molecule makes a transition from the J = 1 to the J = 2 rotational state when it absorbs a photon of frequency 2.30 x 1011 Hz. (a) Find the moment of inertia of this molecule from these data.arrow_forwardThe characteristic rotational energy for a diatomic molecule consisting of two idential atoms of mass 14 u (unified mass units) is 3.68 e-4 eV. Calculate the separation distance between the two atoms. Subarrow_forward
- The cesium iodide (CsI) molecule has an atomic separation of 0.127 nm. (a) Determine the energy of the third excited rotational state, with J = 3T 4 Your response differs from the correct answer by more than 10%. Double check your calculations. meV (b) Find the frequency of the photon absorbed in the J = 2 to J = 3 transition. GHzarrow_forwardAn H2 molecule is in its vibrational and rotational ground states. It absorbs aphoton of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1energy level. It then drops to the ν = 0, J = 2 energy level while emitting6/9SIX1011a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of theH2 molecule about an axis through its centre of mass and perpendicular tothe H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) theequilibrium separation distance for this molecule.arrow_forwardThe mass of the most common silicon atom is 4.646 * 10-26 kg, and the mass of the most common oxygen atom is 2.656 * 10-26 kg. When a molecule of silicon monoxide (SiO) makes a transition between the l = 1 and l = 0 rotational levels, it emits a photon of wavelength 6.882 mm. Find the moment of inertia of the SiO molecule.arrow_forward
- Assume the distance between the protons in the H2 molecule is 0.750 x 10-10 m. (a) Find the energy of the first excited rotational state, with J = 1. (b) Find the wavelength of radiation emitted in the transition from J = 1 to J = 0.arrow_forwardThe frequency of the photon that causes the υ = 0 to υ = 1 transition in the CO molecule is 6.42 x 1013 Hz. We ignore any changes in the rotational energy for this example.(A) Calculate the force constant k for this molecule. (B) What is the classical amplitude A of vibration for this molecule in the υ = 0 vibrational state?arrow_forwardIf a sodium chloride (NaCl) molecule could undergo an n S n - 1 vibrational transition with no change in rotational quantum number, a photon with wavelength 20.0 mm would be emitted. The mass of a sodium atom is 3.82 * 10-26 kg, and the mass of a chlorine atom is 5.81 * 10-26 kg. Calculate the force constant k′ for the interatomic force in NaCl.arrow_forward
- When a hypothetical diamotic molecule having atoms 0.8890 nm apart undergoes a rotational transition from the l=2 state to the next lower state, it gives up a photon having energy 8.850 * 10^-4 eV. When the molecule undergoes a vibrational transition from one energy state to the next lower energy state, it gives up 0.2540 eV. Find the force constant of this molecule.arrow_forwardTo determine the equilibrium separation of the atoms in the HCl molecule, you measure the rotational spectrum of HCl. You find that the spectrum contains these wavelengths (among others): 60.4 mm, 69.0 mm, 80.4 mm, 96.4 mm, and 120.4 mm. (a) Use your measured wavelengths to find the moment of inertia of the HCl molecule about an axis through the center of mass and perpendicular to the line joining the two nuclei. (b) The value of l changes by +-1 in rotational transitions. What value of l for the upper level of the transition gives rise to each of these wavelengths? (c) Use your result of part (a) to calculate the equilibrium separation of the atoms in the HCl molecule. The mass of a chlorine atom is 5.81 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg. (d) What is the longest-wavelength line in the rotational spectrum of HCl?arrow_forwardThis problem deals with the splitting of rotational energy levels of diatomic molecules. If one atom of the molecule has more than one stable isotope, then both isotopes are normally present in a sample. Show that the fractional change ∆f/f in the observed frequency of a photon emitted in a transition between adjacent rotational states is equal to the fractional difference in the reduced mass ∆μ/μ for molecules containing the two different isotopes.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning